Tunability in Topologically Complex Flow Networks.

ORAL

Abstract

Animal vasculature and power grids are examples of natural and man-made flow networks whose optimal operation requires them to be adaptable, i.e. to tune their response according to dynamical changes in demand. Inspired by such systems, in this talk we explore the ability of complex flow networks to be tuned so that, given some specified boundary conditions, the pressure drops along a number of selected edges have predetermined values. In particular, we examine how the topology of the underlying network (e.g. from regular to small world to Erdos-Renyi) affects the ability of the network to be tuned.

*Burroughs Wellcome Fund
NSF Award No. PHY-1554887
National Science Foundation (NSF) No. NSF-DMR-1506625
Simons Foundation 327939

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Presenters

  • Miguel Ruiz Garcia

    • Univ of Pennsylvania

Authors

  • Miguel Ruiz Garcia

    • Univ of Pennsylvania

  • Henrik Ronellenfitsch

    • Massachusetts Inst of Tech-MIT
    • Department of Mathematics, Massachusetts Institute of Technology

  • Jason Rocks

    • Univ of Pennsylvania
    • Department of Physics and Astronomy, University of Pennsylvania

  • Andrea Liu

    • University of Pennsylvania
    • Univ of Pennsylvania
    • Department of Physics and Astronomy, Department of Physics and Astronomy
    • Department of Physics and Astronomy, University of Pennsylvania

  • Eleni Katifori

    • University of Pennsylvania
    • Univ of Pennsylvania
    • Department of Physics and Astronomy, University of Pennsylvania